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10998992400 = 24352112959487
BaseRepresentation
bin10100011111001011…
…10100111000010000
31001101112112201001220
422033211310320100
5140011220224100
65015230325040
7536364615144
oct121745647020
931345481056
1010998992400
11473470a870
12216b659780
131063963b36
14764acb224
15445940aa0
hex28f974e10

10998992400 has 480 divisors, whose sum is σ = 40518835200. Its totient is φ = 2525644800.

The previous prime is 10998992399. The next prime is 10998992467. The reversal of 10998992400 is 429989901.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22584957 + ... + 22585443.

It is an arithmetic number, because the mean of its divisors is an integer number (84414240).

Almost surely, 210998992400 is an apocalyptic number.

10998992400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10998992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259417600).

10998992400 is an abundant number, since it is smaller than the sum of its proper divisors (29519842800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10998992400 is a wasteful number, since it uses less digits than its factorization.

10998992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 10998992400 in words is "ten billion, nine hundred ninety-eight million, nine hundred ninety-two thousand, four hundred".